Explicit evaluation of the following parameters has been carried out in the extraU (1) superstring inspired model: (i) As Mz₂ varies from 555 GeV to 620 GeV and (m_t) CDF = 175.6 ± 5.7 GeV (Table 1): (a) S^New varies from -0.100 ± 0.089 to -0.130 ± 0.090, (b) T^New varies from -0.098 ± 0.097 to -0.129 ± 0.098, (c) U^New varies from -0.229 ± 0.177 to -0.253 ± 0.206, (d) Τ_z varies from 2.487 ± 0.027 to 2.486 ± 0.027, (e) A_LR varies from 0.0125 ± 0.0003 to 0.0126 ± 0.0003, (f) A_FB^b remains constant at 0.0080 ± 0.0007. Almost identical values are obtained for (m_t)D0 = 169 GeV (see table 2). (ii) Triple gauge boson vertices (TGV) contributions: AsMz₂ varies from 555 GeV to 620 GeV and (m_t) CDF = 175.6 ±5.7 GeV. (a)√s = 500 GeV, asymptotic case:$$\overline f _1^{Z_1 } $$ varies from -0.301 to -0.179;$$\overline f _{3|Z_1 }^{Z_1 } $$ varies from -0.622 to -0.379;$$f_5^{Z_1 } $$ varies from +0.0061 to 0.0056;$$\overline f _{3|Z_1 }^{\gamma _1 } $$ varies from -3.691 to -2.186.$$\overline f _z^{Z_2 } $$ varies from +0.270 to +0.118;$$\overline f _3^{Z_2 } $$ varies from +0.552 to 0.238;$$f_5^{Z_2 } $$ varies from +0.0004 to +0.0002;$$\overline f _{3|Z_2 }^{\gamma _1 } $$ remains constant at -0.110. (b)√s = 700 GeV, asymptotic case:$$\overline f _1^{Z_1 } $$ varies from -0.297 to -0.176;$$\overline f _3^{Z_1 } $$ varies from -0.609 to -0.370;$$\overline f _5^{Z_1 } $$ varies from -0.0082 to -0.0078;$$\overline f _{3|Z_1 }^{\gamma _1 } $$ varies from -3.680 to -2.171.√s = 700 GeV, nonasymptotic case:$$\overline f _1^{Z_2 } $$ varies from -0.173 to -0.299;$$\overline f _3^{Z_2 } $$ varies from-0.343 to -0.591;$$f_5^{Z_2 } $$ varies from -0.005 to -0.011;$$\overline f _{3|Z_2 }^{\gamma _1 } $$ remains constant at -0.110.

The pattern of form factors values for√s = 1000, 1200 GeV is almost identical to that of√s= 700 GeV. Further the values of the form factors for (m_t)D0 (=169 GeV) follow identical pattern as that of (m_t) CDF form factors values (see tables 5, 6, 9, 10).

We conclude that the values of all the form factors with the exception of these of$$f_5^{Z_1 } $$,$$f_5^{Z_2 } $$ are comparable or larger than theS, T values and therefore the TGV contributions are important while deciding the use of extraU (1) model for doing physics beyond standard model.

We examine the effects of mixing induced non-diagonal light-heavy neutrino weak neutral currents on the amplitude for the process $$v_a \overline v _a \to ZZ$$ (with a=e, μ or τ). By imposing constraint that the amplitude should not exceed the perturbative unitarity limit at high energy $$\left( {\sqrt s = \Lambda } \right)$$, we obtain bounds on light-heavy neutrino mixing parameter sin²$$\theta _L^{v_a } $$ where $$\theta _L^{v_a } $$ is the mixing angle. In the case of one heavy neutrino (mass mξ) or mass degenerate heavy neutrinos, for Λ=1 TeV, no bound is obtained for mξ<0.50 TeV. However, sin²$$\theta _L^{v_a } $$≤3.8 × 10⁻⁶ for mξ=5 TeV and sin $$\theta _L^{v_a } $$≤6.0 × 10⁻⁸ for mξ=10 TeV. For Λ=∞, no constraint is obtained for mξ<0.99 TeV and sin²$$\theta _L^{v_a } $$≤3.8 × 10⁻² (for mξ=5 TeV) and sin²$$\theta _L^{v_a } $$≤9.6 × 10⁻³ (for mξ=10 TeV).

We explore the possibility of distinguishing the SM-like MSSM Higgs boson from the SM Higgs boson via Higgs boson pair production at future muon collider. We study the behavior of the production cross-section in SM and MSSM with Higgs boson mass for various MSSM parameters tan 𝛽 and $m_{A}$. We observe that at fixed CM energy, in the SM, the total cross-section increases with the increase in Higgs boson mass whereas this trend is reversed for the MSSM. The changes that occur for the MSSM in comparison to the SM predictions are quantified in terms of the relative percentage deviation in cross-section. The observed deviations in cross-section for different choices of Higgs boson masses suggest that the measurements of the cross-section could possibly distinguish the SM-like MSSM Higgs boson from the SM Higgs boson.